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Finding the Fourth Proportional to 1,505.59, 2,075.25 and 1,190.30

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Solution

The fourth proportional to 1,505.59, 2,075.25 and 1,190.30 is: 1,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,505.59 : 2,075.25 = 1,190.30 : x
  2. Step 2: Convert to fraction form
    1,505.59/2,075.25 = 1,190.30/x
  3. Step 3: Cross multiply
    1,505.59x = 2,075.25 × 1,190.30
  4. Step 4: Simplify right side
    1,505.59x = 2,470,164.16
  5. Step 5: Solve for x
    x = 2,470,164.16/1,505.59
  6. Step 6: Final answer
    x = 1,640.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.